Magnetoexcitons in cuprous oxide

Abstract

Two of the most striking experimental findings when investigating exciton spectra in cuprous oxide using high-resolution spectroscopy are the observability and the fine structure splitting of $F$ excitons reported by J. Thewes et al. [Phys. Rev. Lett. 115, 027402 (2015)]. These findings show that it is indispensable to account for the complex valence band structure and the cubic symmetry of the solid in the theory of excitons. This is all the more important for magnetoexcitons, where the external magnetic field reduces the symmetry of the system even further. We present the theory of excitons in $\mathrm{C}{\mathrm{u}}_2\mathrm{O}$ in an external magnetic field and especially discuss the dependence of the spectra on the direction of the external magnetic field, which cannot be understood from a simple hydrogen-like model. Using high-resolution spectroscopy, we also present the corresponding experimental spectra for cuprous oxide in Faraday configuration. The theoretical results and experimental spectra are in excellent agreement as regards not only the energies but also the relative oscillator strengths. Furthermore, this comparison allows for the determination of the fourth Luttinger parameter $\kappa$ of this semiconductor.

Accepted for publication in Phys. Rev. B

References in corpus (15)

• Giant Rydberg Excitons in Cuprous Oxide
• Observation of high angular momentum excitons in cuprous oxide
• Fine structure of excitons in Cu${}_2$O
• Deviations of the exciton level spectrum in cuprous oxide from the hydrogen series
• Coulomb-Sturmian basis for the nuclear many-body problem
• Impact of the valence band structure of Cu${}_2$O on excitonic spectra
• Signatures of Quantum Coherence in Rydberg Excitons
• Electrooptical Properties of Rydberg Excitons
• Optical Properties of Rydberg Excitons and Polaritons
• Linewidths in excitonic absorption spectra of cuprous oxide
• Decimation and Harmonic Inversion of Periodic Orbit Signals
• Rydberg systems in parallel electric and magnetic fields: an improved method for finding exceptional points
• Harmonic inversion analysis of exceptional points in resonance spectra
• $K$ dependent exchange interaction of the $1S$ ortho exciton in Cu${}_2$O
• $X$-torsion and universal groups

Cited by in corpus (30)

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• The even exciton series in Cu${}_2$O
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• Interaction of charged impurities and Rydberg excitons in cuprous oxide
• Magnetooptical Properties of Rydberg Excitons - Center-of-Mass Quantization Approach
• Magnetoexcitons break antiunitary symmetries
• Magneto-Stark and Zeeman effect as origin of second harmonic generation of excitons in Cu${}_2$O
• GOE-GUE-Poisson transitions in the nearest neighbor spacing distribution of magnetoexcitons
• Electromagnetically induced transparency with Cu${}_2$O excitons in the presence of phonon coupling
• Exciton-polaritons in cuprous oxide: Theory and comparison with experiment
• Plasma-enhanced interaction and optical nonlinearities of Cu${}_2$O Rydberg excitons
• Dynamics of incoherent exciton formation in Cu${}_2$O: Time- and angle-resolved photoemission spectroscopy
• Electro-optical properties of Cu${}_2$O in the regime of Franz-Keldysh oscillations
• Excitonic giant-dipole potentials in cuprous oxide
• Interseries transitions between Rydberg excitons in Cu${}_2$O
• Excitons in Cu2O -- from Quantum Wells to Bulk Crystals and Additional Boundary Conditions for Rydberg Exciton-Polaritons
• Magneto-Stark-effect of yellow excitons in cuprous oxide
• Second Harmonic Generation of cuprous oxide in magnetic fields
• Crossover between the Gaussian orthogonal ensemble, the Gaussian unitary ensemble, and Poissonian statistics
• Exchange interaction in the yellow exciton series of cuprous oxide
• Rydberg excitons in electric and magnetic fields obtained with the complex-coordinate-rotation method
• Rydberg Magnetoexcitons in Cu${}_2$O Quantum Wells
• Exciton-phonon interaction breaking all antiunitary symmetries in external magnetic fields
• Classical and semiclassical description of Rydberg excitons in cuprous oxide
• Signatures of exciton orbits in quantum mechanical recurrence spectra of Cu${}_2$O
• Population transfer at exceptional points in spectra of the hydrogen atom in parallel electric and magnetic fields
• Resonance energies and linewidths of Rydberg excitons in Cu${}_2$O quantum wells
• Gaussian-process-regression-based method for the localization of exceptional points in complex resonance spectra
• Eigenenergies of excitonic giant-dipole states in cuprous oxide
• Quantum defects of Rydberg excitons in cuprous oxide: A semiclassical spherical model